Surface Area of Rectangular Prism: Express in Terms of X (3×5×X)

To find the surface area of the rectangular prism in terms of $X$, follow these steps:

• Step 1: Identify the dimensions:
  • Length $l = X$
  • Width $w = 5$
  • Height $h = 3$
• Step 2: Use the surface area formula for a rectangular prism: $S = 2(lw + lh + wh)$
• Step 3: Substitute the given values: $S = 2(X \cdot 5 + X \cdot 3 + 5 \cdot 3)$
• Step 4: Simplify the expression: $S = 2(5X + 3X + 15)$ $S = 2(8X + 15)$ $S = 16X + 30$
• Step 5: Therefore, the surface area of the rectangular prism expressed in terms of $X$ is $16X + 30$.

This matches with choice 1.

Thus, the solution to the problem is $16X + 30$.